What is the distance between the points which divide the line segment joining (4, 3) and (5, 7) internally and externally in ratio 2 : 3?

1
\(\frac{{12\sqrt {17} }}{5}\)
2
\(\frac{{13\sqrt {17} }}{5}\)
3
\(\frac{{\sqrt {17} }}{5}\)
4
More than one of the above
5
None of the above

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